On an Aitken type method

Authors

  • Ion Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
  • Emil Cătinaş Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Keywords:

nonlinear equations, Aitken method

Abstract

In this note we study the convergence of a generalized Aitken type method for approximating the solutions of nonlinear equations in \({\mathbb R}\). We obtain conditions which assure monotone convergence of the generated sequences. We also obtain a posteriori estimations for the errors.

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Published

2007-08-01

How to Cite

Păvăloiu, I., & Cătinaş, E. (2007). On an Aitken type method. Rev. Anal. Numér. ThéOr. Approx., 36(2), 173-176. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2007-vol36-no2-art5

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Section

Articles